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Finding the Third Proportional to 138,178 and 286,742

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Solution

The third proportional to 138,178 and 286,742 is: 595,036.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,178 : 286,742 = 286,742 : x
  2. Step 2: Convert to fraction form
    138,178/286,742 = 286,742/x
  3. Step 3: Cross multiply
    138,178x = 286,742 × 286,742
  4. Step 4: Simplify right side
    138,178x = 82,220,974,564
  5. Step 5: Solve for x
    x = 82,220,974,564/138,178
  6. Step 6: Final answer
    x = 595,036.65

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.